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Finding the Fourth Proportional to 14,533.84, 20,042.76 and 9,219.20

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Solution

The fourth proportional to 14,533.84, 20,042.76 and 9,219.20 is: 12,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.84 : 20,042.76 = 9,219.20 : x
  2. Step 2: Convert to fraction form
    14,533.84/20,042.76 = 9,219.20/x
  3. Step 3: Cross multiply
    14,533.84x = 20,042.76 × 9,219.20
  4. Step 4: Simplify right side
    14,533.84x = 184,778,212.99
  5. Step 5: Solve for x
    x = 184,778,212.99/14,533.84
  6. Step 6: Final answer
    x = 12,713.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.